Question

Mrs. Kebeh stands at a distance of 110 m away from a building of vertical height 58 m. If Kebeh is 2 m tall, find the angle of elevation of the top of the building from her eye.​

Answer 1

27°

Explanation:

You want to know the angle of elevation of the top of a 58 m building seen from a spot 2 m above the ground and 110 m away.

Tangent

The tangent of an angle relates the horizontal and vertical distances:

Tan = Opposite/Adjacent

Here, the side adjacent to the angle of elevation is 100 m, and the side opposite is the height of the building above eye level, 58 m - 2m = 56 m.

The angle is ...

tan(α) = (56 m)/(110 m)

α = arctan(56/110) ≈ 27°

The angle of elevation is about 27°.

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